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TRS Equational pair #516978262
details
property
value
status
complete
benchmark
AC52.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n085.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.453977108002 seconds
cpu usage
0.508034323
max memory
1.615872E7
stage attributes
key
value
output-size
1967
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: AC symbols: plus times 1: times(plus(x,y),z) -> plus(times(x,z),times(y,z)) 2: times(z,plus(x,f(y))) -> times(g(z,y),plus(x,a())) Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #times(z,plus(x,f(y))) -> #times(g(z,y),plus(x,a())) #2: #times(plus(x,y),z) -> #times(x,z) #3: #times(plus(x,y),z) -> #times(y,z) #4: #times(x,times(y,z)) ->= #times(times(x,y),z) #5: #times(x,times(y,z)) ->= #times(x,y) Number of SCCs: 1, DPs: 5 SCC { #1..5 } POLO(Sum)... POLO(max)... QLPOS... succeeded. a s: [] p: 2 f s: [] p: 2 #times s: {1,2} p: 1 times s: {1,2} p: 1 plus s: {1,2} p: 0 g s: 1 USABLE RULES: { 1..4 } Removed DPs: #1..3 #5 Number of SCCs: 1, DPs: 1 SCC { #4 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #6: #times(times(z,plus(x,f(y))),_1) -> #times(times(g(z,y),plus(x,a())),_1) #7: #times(times(plus(x,y),z),_1) -> #times(plus(times(x,z),times(y,z)),_1) #8: #times(x,times(y,z)) ->= #times(times(x,y),z) #9: #times(x,times(y,z)) ->= #times(x,y) Number of SCCs: 1, DPs: 4 SCC { #6..9 } POLO(Sum)... succeeded. a w: 1 f w: 1 #times w: x1 + x2 times w: x1 + x2 + 1 plus w: 20163 g w: 0 USABLE RULES: { 1..4 } Removed DPs: #7 #9 Number of SCCs: 1, DPs: 2 SCC { #6 #8 } POLO(Sum)... POLO(max)... QLPOS... succeeded. a s: [] p: 1 f s: [] p: 2 #times s: {1,2} p: 1 times s: {1,2} p: 1 plus s: {1,2} p: 0 g s: 1 USABLE RULES: { 1..4 } Removed DPs: #6 Number of SCCs: 1, DPs: 1 SCC { #8 } only weak rules. Number of SCCs: 0, DPs: 0
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